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238972033 is a prime number
BaseRepresentation
bin11100011111001…
…10110010000001
3121122200001000001
432033212302001
5442134101113
635414000001
75631141316
oct1617466201
9548601001
10238972033
11112991253
1268046001
133a680c91
1423a48d0d
1515ea67dd
hexe3e6c81

238972033 has 2 divisors, whose sum is σ = 238972034. Its totient is φ = 238972032.

The previous prime is 238972003. The next prime is 238972073. The reversal of 238972033 is 330279832.

238972033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 175483009 + 63489024 = 13247^2 + 7968^2 .

It is a cyclic number.

It is not a de Polignac number, because 238972033 - 29 = 238971521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 238971983 and 238972001.

It is not a weakly prime, because it can be changed into another prime (238972003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 119486016 + 119486017.

It is an arithmetic number, because the mean of its divisors is an integer number (119486017).

Almost surely, 2238972033 is an apocalyptic number.

It is an amenable number.

238972033 is a deficient number, since it is larger than the sum of its proper divisors (1).

238972033 is an equidigital number, since it uses as much as digits as its factorization.

238972033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 238972033 is about 15458.7202898558. The cubic root of 238972033 is about 620.5579723782.

The spelling of 238972033 in words is "two hundred thirty-eight million, nine hundred seventy-two thousand, thirty-three".